bokomslag Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions
Vetenskap & teknik

Isoperimetric Sandwiches and Approximation by Analytic and Harmonic Functions

Catherine Beneteau Dmitry Khavinson

Inbunden

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  • 304 sidor
  • 2024
The book focuses on a number of results and open problems dealing with a wide variety of isoperimetric inequalities. , this approach can be characterized by a recently coined term "sandwiches". A certain quantity is introduced, usually as a degree of approximation to a given simple function, e.g., z* , |x|^2, by either analytic or harmonic functions in some norm. Then, the estimates from below and above of the approximate distance are obtained in terms of simple geometric characteristics of the set, e.g., area, perimeter, capacity, etc. The resulting "sandwich" yields the isoperimetric inequality.
  • Författare: Catherine Beneteau, Dmitry Khavinson
  • Illustratör: black and white 30 Illustrations
  • Format: Inbunden
  • ISBN: 9781498756365
  • Språk: Engelska
  • Antal sidor: 304
  • Utgivningsdatum: 2024-09-30
  • Förlag: Productivity Press